How can i convert a value in Triangular fuzzy number?

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Mohamed-Mourad Lafifi

Hi,

I suggest you see the links on the topic.

https://scialert.net/fulltext/?doi=jse.2017.116.122

https://rdrr.io/cran/fuzzyreg/man/fuzzify.html

https://search.r-project.org/CRAN/refmans/fuzzyreg/html/fuzzify.html

https://ejmcm.com/pdf_4694_5f04d654d0b7709a76a85718c0589e16.html

Article A New Method for Defuzzification and Ranking of Fuzzy Number...

Best regards

Javaid Ahmad Shah

I suggest you to go to the link below for your topic,

10.32604/cmc.2022.029122

Salem Saleh

A triangular fuzzy number is a fuzzy number that is represented by a triangular membership function, which is a graphical representation of the degree to which a value belongs to the fuzzy set. To convert a value to a triangular fuzzy number, you can follow these steps:

Define the value as a crisp number, which is a precise numerical value.

Determine the three parameters of the triangular membership function: the leftmost point (a), the rightmost point (b), and the peak point (c). These values represent the minimum, maximum, and most likely values of the fuzzy set, respectively.

Plot the three points on a graph, with the x-axis representing the crisp value and the y-axis representing the degree of membership. The degree of membership can range from 0 (not a member) to 1 (fully a member).

Connect the three points with straight lines to form a triangular shape.

Determine the degree of membership for the crisp value by finding the y-coordinate of the point on the graph that corresponds to the crisp value. This will give you the triangular fuzzy number for the value.

For example, if the crisp value is 5, and the triangular membership function has a minimum value of 2, a maximum value of 8, and a most likely value of 5, the triangular fuzzy number for the value 5 would be 1, since it is fully a member of the set.

It is important to note that the process of converting a value to a triangular fuzzy number is dependent on the specific parameters and membership function that are used. Different parameters and membership functions will result in different fuzzy numbers for the same value.